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Finding the Third Proportional to 269,731 and 581,531

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Solution

The third proportional to 269,731 and 581,531 is: 1,253,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,731 : 581,531 = 581,531 : x
  2. Step 2: Convert to fraction form
    269,731/581,531 = 581,531/x
  3. Step 3: Cross multiply
    269,731x = 581,531 × 581,531
  4. Step 4: Simplify right side
    269,731x = 338,178,303,961
  5. Step 5: Solve for x
    x = 338,178,303,961/269,731
  6. Step 6: Final answer
    x = 1,253,761.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.